FORM Version 5.0

TL;DR

FORM 5.0 is a major update to the symbolic-manipulation system that introduces diagram generation, arbitrary precision calculations, and faster polynomial arithmetic, enhancing its capabilities for scientific computations.

Contribution

This release integrates a diagram generator, supports arbitrary precision and mathematical functions, and interfaces with the FLINT library for improved performance.

Findings

Integrated diagram generation from scripts

Supports arbitrary precision floating point calculations

Enhanced performance and file compression

Abstract

We present FORM 5, a major release of the symbolic-manipulation system FORM. Version 5 introduces an integrated diagram generator, based on the GRACE graph-generator, to produce Feynman diagrams directly from FORM scripts. This release also adds support for arbitrary precision floating point coefficients, together with statements for the numerical evaluation of common mathematical functions as well as multiple zeta values and Euler sums. In addition, FORM 5 provides an interface to the FLINT library, offering substantially faster polynomial arithmetic. Various further functions and commands have been added alongside these major features, as well as performance improvements for TFORM and improved compression of FORM's temporary files. Compatibility with the previous release, FORM 4.3.1, is retained except where prior behaviour contradicted the manual or was experimental.